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G ( s ) = s 2 + 2 ζ ω n s + ω n2 ,
ELEN90055 Control Systems Worksheet 5
Semester 2
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where 0 < ζ < 1, find expressions for the peak magnitude response, the frequency at which it occurs, and the 3dB bandwidth of G. Briefly describe what happens to each of these three quantities as ζ → 0 and as ζ → 1. Draw the Bode diagrams (magnitude and phase) for the following transfer functions: Open-loop frequency response data is obtained for a system and an approximate Bode diagram is plotted as shown in Figure 1. (a) Identify a transfer function model of the system. (b) Sketch the step response of the system. G(s) = s+2 G(s)= 1 s(s + 5)2 G(s) = (s+2)(s+10) s+5 G(s) = s + 2 (s+5)2 G(s)= s+2 Check your sketch using MATLAB. Figure 1: Question 2 (Bode). 2 Additional solved problems 1. A-7-1 and A-7-5 (pages 521, 525-526): “Modern Control Engineering” by ; 5th edition. (see additional sheet) 程序代写 CS代考 加微信: powcoder QQ: 1823890830 Email: powcoder@163.com